Monday, January 9, 2012

Area of Triangles Under a Curve

Given: Right triangle BCD whose hypotenuse is tangent to the function f(x) = a/x

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

  1. Move slider and observe what happens? How is the appearance of the graph relate to a?
  2. Move point A and observe the triangle? What do you observe?
  3. What conjecture can you make based on your observation in 2. Prove your conjecture. 

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